How to add 3 vectors of different directions together?

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To add vectors of different directions, first decompose each vector into its horizontal and vertical components. For instance, a vector of 5 Newtons at 75 degrees North of East can be broken down into F_x = 5N cos(75) and F_y = 5N sin(75). After calculating the components for all vectors, sum the horizontal components together and then the vertical components. The final resultant vector can be determined by combining these sums. Understanding this method is crucial for accurately adding vectors in physics.
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For example: 3 Newtons [East30°North] + 5 Newtons [West] + 2 Newtons [West60°South]...

Thanks!

I missed the day we went over this in class so it is new to me!
 
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You need to break up each vector into horizontal and vertical components and then add those together separately.

So for example if I have a vector that is 5N 75 degree North of East, I would know that
F_{x} = 5N cos(75), F_{y} = 5N sin(75)
 

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